Question 233287: A contest winner received one fourth of his winnings in cash, and received four prizes, each worth on fourth of the balance. If the cash and one of the prizes were worth a combined total of 35,000, what was the total value of his winnings?
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Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322)   (Show Source):
Answer by MathTherapy(10555)  (Show Source):
You can put this solution on YOUR website! A contest winner received one fourth of his winnings in cash, and received four prizes, each worth on fourth of the balance. If the cash and one of the prizes were worth a combined total of 35,000, what was the total value of his winnings?
Let winnings be W
Since he received  of his winnings in cash, then he receives  in cash. This leaves a remainder of  or 
Now, since the cash he received, plus of the remainder = 35,000
Then we'll have or
 , or, 
 -----> Multiply by LCD, 16
W =  = $80,000
Therefore, W, or his winnings = $
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